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Finding the Fourth Proportional to 473.64, 652.32 and 408.12

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Solution

The fourth proportional to 473.64, 652.32 and 408.12 is: 562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.64 : 652.32 = 408.12 : x
  2. Step 2: Convert to fraction form
    473.64/652.32 = 408.12/x
  3. Step 3: Cross multiply
    473.64x = 652.32 × 408.12
  4. Step 4: Simplify right side
    473.64x = 266,224.84
  5. Step 5: Solve for x
    x = 266,224.84/473.64
  6. Step 6: Final answer
    x = 562.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.